Summary
In this chapter, we take advantage of particle swarm optimization to build fuzzy systems automatically for different kinds of problems by simply providing the objective function and the problem variables. Particle swarm optimization (PSO) is a technique used in complex problems, including multi-objective problems. Fuzzy systems are currently used in many kinds of applications, such as control, for their effectiveness and efficiency. However, these characteristics depend primarily on the model yield by human experts, which may or may not be optimized for the problem. To avoid dealing with inconsistent during the fuzzy systems generation, we used some known techniques, such as the WM method, to help evolving meaningful rules and clustering concepts to generate membership functions. Tests using three three-dimensional functions have been carried out and show that the evolutionary process is promising.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Beni, G., Wang, J.: Robots and Biological Systems: Towards a New Bionics? Toscana, Italy. NATO ASI Series (1989)
Chen, L., Chen, C.L.P.: Pre-shaped fuzzy c-means algorithm (pfcm) for transparent membership function generation. In: Proc. of IEEE International Conference on Systems, Man and Cybernetics, pp. 789–794 (October 2007)
Cintra, M.E., Camargo, H.A.: Fuzzy rules generation using genetic algorithms with self-adaptive selection. In: Proc. of IEEE International Conference on Information Reuse and Integration, pp. 261–266 (August 2007)
Cordón, O., Herrera, F.: A hybrid genetic algorithm-evolution strategy process for learning fuzzy logic controller knowledge bases. In: Genetic Algorithms and Soft Computing, pp. 251–278. Physica-Verlag, Heidelberg (1996)
Cox, E.: The Fuzzy Systems Handbook: A Practitioner’s Guide to Building, Using, and Maintaining Fuzzy Systems. Academic Press Limited, Oval Road (1994)
Engelbrecht, A.P.: Fundamentals of Computational Swarm Intelligence. John Wiley Sons Ltd., England (2005)
Guo, B., Liang, X., Wang, B., Wan, L.: Sigmoid surface control for mini underwater vehicles by improved particle swarm optimization. In: Proc. of International Conference on Robotics and Biomimetics (December 2007)
Kennedy, J., Eberhart, R.: Particle Swarm Optimization. In: Proc. of IEEE International Conference on Neural Networks, pp. 1942–1948. IEEE Computer Society Press, Los Alamitos (1995)
Kim, M.S., Kim, C.-H., Lee, J.j.: Evolving compact and interpretable takagi-sugeno fuzzy models with a new encoding scheme. IEEE Transactions on Systems, Man, and Cybernetics, Part B 36, 1006–1023 (2006)
Krone, A., Slawinski, T.: Data-based extraction of unidimensional fuzzy sets for fuzzy rule generation. In: Proc. of IEEE International Conference on Fuzzy Systems, vol. 02, pp. 1032–1037 (1998)
Nedjah, N., Mourelle, L.M.: Swarm Intelligent Systems. Springer, Heidelberg (2006)
Rivas, V.M., Merelo, J.J., Rojas, I., Romero, G., Castillo, P.A., Carpio, J.: Evolving two-dimensional fuzzy systems. Fuzzy Sets Systems 138(2), 381–398 (2003)
Setnes, M., Roubos, H.: GA-fuzzy modeling and classification: complexity and performance. IEEE Transactions on Fuzzy Systems 08, 509–522 (2000)
Shi, Y., Eberhart, R.C.: A Modified Particle Swarm Optimizer. In: Proc. of IEEE Congress on Evolutionary Computation, pp. 69–73. IEEE Computer Society Press, Los Alamitos (1998)
Wang, L.X.: The WM method completed: A flexible fuzzy system approach to data mining. IEEE Transactions on Fuzzy Systems 11, 768–782 (2003)
Zadeh, L.A.: Fuzzy sets. Information and Control 08, 338–353 (1965)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Nedjah, N., Costa, S.O., de Macedo Mourelle, L., dos Santos Coelho, L., Mariani, V.C. (2011). PSO in Building Fuzzy Systems. In: Nedjah, N., dos Santos Coelho, L., Mariani, V.C., de Macedo Mourelle, L. (eds) Innovative Computing Methods and Their Applications to Engineering Problems. Studies in Computational Intelligence, vol 357. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20958-1_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-20958-1_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-20957-4
Online ISBN: 978-3-642-20958-1
eBook Packages: EngineeringEngineering (R0)